Official Paper

PYST 5: IB Security Assistant & MTS Official Paper - Logical Ability & Reasoning (Held On: 24 March, 2023 Shift 2) (Previous Year Paper)

20 questions · 15 minutes · with answers · free

Attempt as Timed Mock Test

Test (20 questions)

1

In the given letter-cluster pairs, the first letter-cluster is related to the second letter-cluster following a certain logic. Study the given pairs carefully, and from the given options, select the pair that follows the same logic.

GLY : BGT

OLP : JGK

  1. ((a))

    STL : NOG

  2. ((b))

    YRD : UNX 

  3. ((c))

    CBP : WVL

  4. ((d))

    EIN : ACJ

Show Answer
Answer: ((a))

STL : NOG

The position and positional values or English Alphabets are:

Now,

GLY : BGT

OLP : JGK 

Let's check each Option One by One.

Option 1) STL : NOG

 

Option 2) YRD : UNX

Option 3) CBP : WVL

Option 4) EIN : ACJ

So, Only STL : NOG follows the pattern of given letter cluster.

Hence, the correct answer is 'Option 1'.

2

The question that follows is based on the given 3-digit numbers.

275, 463, 567, 428, 394, 663, 129

If 6 is added to the first digit of every number, in how many numbers will the first digit be exactly divisible by the second digit?

  1. ((a))

    Four 

  2. ((b))

    Two 

  3. ((c))

    One 

  4. ((d))

    Three

Show Answer
Answer: ((d))

Three

The Given Series: 275, 463, 567, 428, 394, 663, 129

Now, If 6 is added to the first digit of every number:

Series becomes: 875, 1063, 1167, 1028, 994, 1263, 729.

There are 3 Numbers in which first digit be exactly divisible by the second digit: 1028, 994, 1263.

As 10 is completely divisible by 2

9 is completely divisible by 9

And, 12 is completely divisible by 6.

Hence, the correct answer is 'Option 4'.

3

Rohit is looking for his brother. He started from a point and went 110 m towards the west before turning to his left. Then he went 40 m, turned to his left and went 50 m to look for his brother at his uncle’s place. His brother was not there. From there, he went 120 m to his north before meeting his brother at point X. What is the shortest distance between point X and the starting point of Rohit? 

  1. ((a))

    100 m

  2. ((b))

    140 m

  3. ((c))

    130 m

  4. ((d))

    120 m

Show Answer
Answer: ((a))

100 m

Given: Rohit is looking for his brother. He started from a point and went 110 m towards the west before turning to his left.

Then he went 40 m, turned to his left and went 50 m to look for his brother at his uncle’s place.

From there, he went 120 m to his north before meeting his brother at point X.

The Shortest Distance between X and Starting Point = (√ (80)2 + (60)2)m

√ 6400 + 3600m = √ 10000m

= 100m.

Hence, the correct answer is 'Option 1'.

4

Study the following arrangement of two digit numbers and symbols to answer the question given below

37 43 87 & 32 54 @ % 89 65 44 $ 67 34 # 78

Which is the 8th term to the right of 15th from the right end in the above series?

  1. ((a))

    32

  2. ((b))

    65

  3. ((c))

    89

  4. ((d))

    54

Show Answer
Answer: ((b))

65

Given: 37 43 87 & 32 54 @ % 89 65 44 $ 67 34 # 78

Now,

8th term to the right of 15th from the right end in the above series.

First, 15th term from Right End,

Now, 8th term to the right of 15th term from right end.

So, 65 is 8th term to the right of 15th from the right end in the above series.

Hence, the correct answer is 'Option 2'.

5

If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, and ‘÷’ means ‘+’, then what is the value of the following expression?

18 − 18 ÷ 3 − 72 × 12 + 4 − 6

  1. ((a))

    345

  2. ((b))

    329 

  3. ((c))

    318

  4. ((d))

    333

Show Answer
Answer: ((c))

318

Given Equation: 18 − 18 ÷ 3 − 72 × 12 + 4 − 6

BODMAS Rule:

 

Decoding the Given Information:

Symbols+-×÷
Meaning-×÷+
<br>

Now replacing the sign from left to right using BODMAS Rule, we get:

New Equation: 18 × 18 + 3 × 72 ÷ 12 - 4 × 6 

Calculation:

⇒18 × 18 + 3 × 72 ÷ 12 - 4 × 6

⇒18 × 18 + 3 × 6 - 4 × 6

⇒324 + 18 - 24

⇒342 - 24 =  318.

Hence, the correct answer is 'Option 3'.

6

Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the letter-cluster that is different. 

  1. ((a))

    ORVZ 

  2. ((b))

    MQUY 

  3. ((c))

    JNRV 

  4. ((d))

    TXBF

Show Answer
Answer: ((a))

ORVZ 

The position and positional value of English Alphabets are:

The logic followed here is:

Option 1) ORVZ

Option 2) MQUY

Option 3) JNRV

Option 4) TXBF

So, ORVZ is odd among the given options.

Hence, the correct answer is 'Option 1'.

7

Find the approximate value of X in the given equation.

9318 + 719.479 – X = 8953.625

  1. ((a))

    1084

  2. ((b))

    970

  3. ((c))

    1098

  4. ((d))

    1109

Show Answer
Answer: ((a))

1084

BODMAS Rule: 

Given Equation:

 9318 + 719.479 – X = 8953.625

Taking Approximate Values:

⇒9318 + 719 – X = 8953

⇒10037 - X = 8953

⇒10037 - 8953 = X

⇒1084 = X.

So, the value of X is 1084.

Hence, the correct answer is 'Option 1'.

8

Eight people are living on eight different floors of the building in such a way that the ground floor is numbered 1, the floor above that is numbered 2, and so on till the top floor is numbered 8. Only two people live between C and E. Only two people live between E and D. F lives on the topmost floor. G lives immediately above B. A lives on one of the floors below E but above D and H. D lives on the ground floor. How many floors are there between the floors on which C and H live? 

  1. ((a))

    One 

  2. ((b))

    Three 

  3. ((c))

    Two 

  4. ((d))

    Four

Show Answer
Answer: ((d))

Four

Given: Eight people are living on eight different floors of the building in such a way that the ground floor is numbered 1, the floor above that is numbered 2, and so on till the top floor is numbered 8.

D lives on the ground floor

F lives on the topmost floor.

Only two people live between E and D.

Only two people live between C and E.

FloorPeople
8F
7C
6
5
4E
3
2
1D
<br>

G lives immediately above B.

A lives on one of the floors below E but above D and H.

FloorPeople
8F
7C
6G
5B
4E
3A
2H
1D
<br>

So, From the above arrangement, there are 4 floors between C and H lives.

Hence, the correct answer is 'Option 4'.

9

In the given letter-cluster pairs, the first letter-cluster is related to the second letter cluster following a certain logic. Study the given pairs carefully, and from the given options, select the pair that follows the same logic.

GJM : CFI :: LOR : HKN

  1. ((a))

    QSW : NPS

  2. ((b))

    QTW : MPS

  3. ((c))

    PTX : LPU

  4. ((d))

    RUY : QSZ

Show Answer
Answer: ((b))

QTW : MPS

The position and positional value of English Alphabets are:

The logic followed here is:

Now, 

GJM : CFI

 LOR : HKN

Let's check each Option One by One.

Option1) QSW : NPS

Option 2) QTW : MPS

Option 3) PTX : LPU

Option 4) RUY : QSZ

So, QTW : MPS follows the pattern of given letter clusters.

Hence, the correct answer is 'Option 2'.

10

In this question, a group of digits/symbols is coded using the letters as per the table given below and the conditions which follow. The correct combination of codes following the conditions is your answer.

Digits / Symbols9$6%1&384
CodeYJLMTUEWQ
<br>

Condition 1: If the first and the last elements are numbers, then both the numbers are coded as the code for the last number.

Condition 2: If the third element is a symbol, then the code for the symbol is exchanged with the code for the fifth element.

Condition 3: If the fourth element is an odd number, then it is to be coded as #.

What is the code for 94$3&3 ?

  1. ((a))

    YQJEUE

  2. ((b))

    YQU#UE

  3. ((c))

    EQU#JE

  4. ((d))

    EQU#EU

Show Answer
Answer: ((c))

EQU#JE

Given: 

Digits / Symbols9$6%1&384
CodeYJLMTUEWQ

 

Rule No.ConditionsResults
1.If the first and the last elements are numbersthen both the numbers are coded as the code for the last number.
2.If the third element is a symbolthen the code for the symbol is exchanged with the code for the fifth element.
3.If the fourth element is an odd numberthen it is to be coded as #.
<br>

Given Code: 94$3&3

Here Rule No. 1, If the first and the last elements are numbers, then both the numbers are coded as the code for the last number

Rule No. 2, If the third element is a symbol, then the code for the symbol is exchanged with the code for the fifth element.

Rule No. 3, If the fourth element is an odd number, then it is to be coded as #. 

Now, in the given code '94$3&3' All rules apply.

So, The Given Code '94$3&3'  will be decoded as → E Q U # J E.

Hence, the correct answer is 'Option 3'.

11

P, Q, R, S, T, U, V and W are sitting in a round circle, facing the centre. P is third to the left of S. P is second to the right of T, who is an immediate neighbour of both R and V. W is not the neighbour of P. S is an immediate neighbour of both U and W. U is second to the left of T. Q is fourth to the right of V. Who is to the immediate right of V?

  1. ((a))

    S

  2. ((b))

    U

  3. ((c))

    T

  4. ((d))

    R

Show Answer
Answer: ((c))

T

Given: P, Q, R, S, T, U, V and W are sitting in a round circle, facing the centre.

P is third to the left of S.

P is second to the right of T, who is an immediate neighbour of both R and V.

U is second to the left of T.

S is an immediate neighbour of both U and W.

W is not the neighbour of P.

Q is fourth to the right of V.

So, from the above arrangement T sits to the immediate right of V.

Hence, the correct answer is 'Option 3'.

12

A, B, C, D, E, F and G are sitting in a straight line facing north. C sits third to the right of B. A sits second to the right of C. G is an immediate neighbour of both C and D. G sits fourth to left of E. E sits at one of the extreme ends of the line. Who is/are sitting to the left of G?

  1. ((a))

    A and E

  2. ((b))

    Only D

  3. ((c))

    C and F

  4. ((d))

    B and D

Show Answer
Answer: ((d))

B and D

Given: A, B, C, D, E, F and G are sitting in a straight line facing north.

E sits at one of the extreme ends of the line.

G sits fourth to left of E.

G is an immediate neighbour of both C and D.

C sits third to the right of B.

A sits second to the right of C.

From the above arrangement, B and D sit to the left of G.

Hence, the correct answer is 'Option 4'.

13

In a certain code language, ‘bike roads highways cars’ is written as ‘od lk sk jk’. ‘jeep scooter highways bus’ is written as ‘mj jk dn ho’, ‘bus cycle link express’ is written as ‘gt fa mj lk’, and ‘express ways without toll’ is written as ‘sk mn ho gt’. What is the code for ‘bus’ in the same language?

  1. ((a))

    mj

  2. ((b))

    gt 

  3. ((c))

    od 

  4. ((d))

    lk

Show Answer
Answer: ((a))

mj

The logic followed here is:

‘bike roads highways cars’ is written as ‘od lk sk jk’.

‘jeep scooter highways bus’ is written as ‘mj jk dn ho’

‘bus cycle link express’ is written as ‘gt fa mj lk’,

‘express ways without toll’ is written as ‘sk mn ho gt’

Here, 'jk' is the code for 'Highways'

'gt' is the code for 'express'

'mj' is the code for 'BUS'

So, code 'mj' is common in both the statements with the word 'BUS'. 

Therefore, 'Bus' is coded as 'mj'.

Hence, the correct answer is 'Option 1'.

14

The following question is based on the given diagram.

The boys who are cricketers and footballers are indicated by which number?

  1. ((a))

    29

  2. ((b))

    38

  3. ((c))

    11

  4. ((d))

    43

Show Answer
Answer: ((c))

11

According to the Venn Diagram:

The Shaded area shows the number of boys who are cricketers and footballers = 11.

Hence, the correct answer is 'Option 3'.

15

Select the number from among the given options that can replace the question mark (?) in the following series.

11, 19, 35, 59, ?, 131

  1. ((a))

    89

  2. ((b))

    87

  3. ((c))

    91

  4. ((d))

    85

Show Answer
Answer: ((c))

91

The logic followed here is:

So, 91 will replace the question mark in the series.

Hence, the correct answer is 'Option 3'.

16

In a Science test among 6 students, Hansraj scored equal to Varun. Nandkishor scored more than Varun but less than Poonam. Pranjal scored more than Sam but less than Varun. Who scored the second lowest in the Science test?

  1. ((a))

    Nandkishor

  2. ((b))

    Pranjal

  3. ((c))

    Poonam

  4. ((d))

    Sam

Show Answer
Answer: ((b))

Pranjal

Given:  6 students Hansraj, Varun, Nandkishor, Poonam, Pranjal, Sam and the comparison of their scores in Science test.

1) Hansraj scored equal to Varun.

2) Nandkishor scored more than Varun but less than Poonam.

Hansraj = Varun < Nandkishor < Poonam.

3) Pranjal scored more than Sam but less than Varun.

Sam < Pranjal < Hansraj = Varun < Nandkishor < Poonam

Here, Pranjal scored second lowest in Science test.

Hence, the correct answer is 'Option 2'.

17

Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series.

A_CO_ A OST CO AC _ST

  1. ((a))

    TSCACACSTOC 

  2. ((b))

    SACCCACOCST 

  3. ((c))

    STCACCSTOOA 

  4. ((d))

    CSTCCACSTCO

Show Answer
Answer: ((d))

CSTCCACSTCO

The logic followed here is:

From Option 1) TSCACACSTOC 

A T C O S C / A A C O S T / A C C O S  T / A C O  C S T → Does not follow pattern.

From Option 2) SACCCACOCST 

A S C O A C / A C C O S T / A C C O O C / A  C S T S T → Does not follow pattern.

From Option 3) STCACCSTOOA 

A S C O T  C / A A  C O S T / C S C O T O / A C O A S T → Does not follow pattern.

From Option 4) CSTCCACSTCO

A C C O S T / A C C O S T / A C C O S T/ A C C OS T → follows a pattern of ACCOST.

Hence, the correct answer is 'Option 4'.

18

R ranks 23rd in a class of 76 students. What is his rank from the last?

  1. ((a))

    55th

  2. ((b))

    58th

  3. ((c))

    57th

  4. ((d))

    54th

Show Answer
Answer: ((d))

54th

The logic followed here is:

Rank of R = 23rd

Total number of students in class = 76

Rank from the R from last = Total number of student in the class - Rank of R + 1.

= 76 - 23 + 1 

= 53 + 1

= 54.

Hence, the correct answer is 'Option 4'.

19

Select the number from among the given options that can replace the question mark (?) in the following series.

203, 199, 208, 192, 217, 181, ?

  1. ((a))

    245

  2. ((b))

    230

  3. ((c))

    229

  4. ((d))

    239

Show Answer
Answer: ((b))

230

The logic followed here is:

So, 230 will complete the series.

Hence, the correct answer is 'Option 2'.

20

Read the following information carefully and answer the questions given below.

A + B means A is the daughter of B.

A − B means A is the husband of B.

A * B means A is the brother of B.

If R is the mother of P, then which of the following is true?

  1. ((a))

    R + Q − P

  2. ((b))

    Q − P + R

  3. ((c))

    P + Q − R

  4. ((d))

    P + R − Q

Show Answer
Answer: ((c))

P + Q − R

Family Chart:

Decoding the Symbols:

A is
Symbols+-*
MeaningDaughterHusbandBrother
of B
<br>

Let's check each option One by One:

Option 1) R + Q − P

Here, R is daughter of P.

Option 2) Q − P + R

Here, P is daughter of R but gender of R is not defined.

Option 3) P + Q − R

Here, R is mother of P.

Option 4) P + R − Q

Here, R is father of P.

So, P + Q - R gives R is the Mother of P.

Hence, the correct answer is 'Option 3'.

Attempt this paper under real exam conditions

Timed interface, section switching, instant scoring, and question-by-question analytics — free.

Start Timed Attempt